25889 ÷ 78 
We're looking to find how many times 78 goes into 25889.

Step 1:
When dividing 2 by 78, we get 0 with a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Fetch the next digit (5) from the dividend, attach it to 2 and continue: 25 / 78

Moving on to step 2:
The number 78 fits into 25 0 times, leaving a remainder of 25.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 25, we get 25.
Fetch the next digit (8) from the dividend, attach it to 25 and continue: 258 / 78

Let's proceed to step 3:
258 divided by 78 is 3 with a remainder of 24.
Write down 3 as next digit of the result. 
Result so far: 3.0
Subtracting 234 from 258 leaves us with 24.
Fetch the next digit (8) from the dividend, attach it to 24 and continue: 248 / 78

Advancing to step 4:
The number 78 fits into 248 3 times, leaving a remainder of 14.
The next digit of our result is 3. 
Result so far: 33.0
The remainder is 14 after subtracting 234 from 248.
Include the next digit (9) from the dividend after 14, then repeat: 149 / 78

Going ahead to step 5:
78 goes into 149 1 times with a remainder of 71.
Put 1 as the next digit of the answer. 
Result so far: 331.0
If we subtract 78 from 149, we get 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

On to step 6:
The number 78 fits into 710 9 times, leaving a remainder of 8.
Write down 9 as next digit of the result. 
Result so far: 331.9
If we subtract 702 from 710, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 7:
78 goes into 80 1 times with a remainder of 2.
Record the quotient 1 as the next digit in the result. 
Result so far: 331.91
Deduct 78 from 80 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 8:
20 divided by 78 is 0 with a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 331.91
If we subtract 0 from 20, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 9:
The number 78 fits into 200 2 times, leaving a remainder of 44.
Record the quotient 2 as the next digit in the result. 
Result so far: 331.9102
If we subtract 156 from 200, we get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Advancing to step 10:
440 divided by 78 is 5 with a remainder of 50.
Use 5 as the next digit of our solution. 
Result so far: 331.91025
Deduct 390 from 440 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Step 11:
78 can be fit into 500 6 times, resulting in a remainder of 32.
Put 6 as the next digit of the answer. 
Result so far: 331.910256
The remainder is 32 after subtracting 468 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Let's proceed to step 12:
The number 78 fits into 320 4 times, leaving a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 331.9102564
Deduct 312 from 320 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 13:
When dividing 80 by 78, we get 1 with a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 331.91025641
Subtracting 78 from 80 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The final result is 331.91025641 with a remainder of 2e-09.